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Finding the Fourth Proportional to 10,571.70, 14,594.92 and 7,219.38

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Solution

The fourth proportional to 10,571.70, 14,594.92 and 7,219.38 is: 9,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.70 : 14,594.92 = 7,219.38 : x
  2. Step 2: Convert to fraction form
    10,571.70/14,594.92 = 7,219.38/x
  3. Step 3: Cross multiply
    10,571.70x = 14,594.92 × 7,219.38
  4. Step 4: Simplify right side
    10,571.70x = 105,366,273.55
  5. Step 5: Solve for x
    x = 105,366,273.55/10,571.70
  6. Step 6: Final answer
    x = 9,966.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.